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Suppose a tire manufacturer wants to set a mileage guarantee on its new XB 70 tire. Tests revealed that the tire's mileage is normally distributed with a mean of 47,900 miles and a standard deviation of 2,050 miles. The manufacturer wants to set the guaranteed mileage so that no more than 5 percent of the tires will have to be replaced. What guaranteed mileage should the manufacturer announce?
On an exam with scores that followed a normal distribution, a student's z-score was 2. What percentage of students scored worse than he did?
How much should a healthy shetland pony weigh? Let X be the age of the ponies in months and y be the average weight of the ponies, in kilograms.
The U.S. Food and Drug Administration (FDA) is responsible for approving new drugs. Many consumer groups feel that the approval process is too easy.
What is the probability that 11 or more of these consumers have called an 800 or 900 telephone number for information about some product?
A newspaper ad for a manager trainee position contained the statement "Our manager trainees have a first-year earnings average of $20,000 to $24,000." Do you think that the ad is describing a confidence interval? Explain your answer.
The weekly output of a steel mill is a uniformly distributed random variable that lies between 110 and 175 metric tons. Compute the probability that the steel mill will produce more than 150 metric tons next week.
Ahren and Witi both love coffee. When Ahren is in the office, he drinks one cup of coffee with probability 0.6 and no cups of coffee with probability 0.4.
For both the Gamma and Beta distribution, find the value of x that maximizes the density function. When is there just one local maximum?
Analyze how validity in psychometrics, as you explored in unit 4, is different from a validity scale in a test of personality.
Create a set of 5 positive numbers (repeats allowed) that have median 10 and mean 7. What thought process did you use to create your numbers?
According to the U.S. Bureau of Labor Statistics, personal expenditures for entertainment fees and admissions averaged $349 per person in the Northeast and $420 in the West.- Construct and interpret the 99% confidence interval for the test.
Draw a bar graph to represent the data.- Draw a pie chart to represent the data.- Explain which picture-bar graph or pie chart-you think is more informative.
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